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The frequencies of quasinormal modes (QNM) for the Schwartzschild black hole are studied from the viewpoint of the particle scattering under an effective Regge-Wheeler type of potential consisting of a parabolic type one in an intermediate…

General Relativity and Quantum Cosmology · Physics 2024-12-13 Shigefumi Naka , Haruki Toyoda

The characteristic oscillations of black holes, as described by their quasinormal mode (QNM) spectrum, play a fundamental role in testing general relativity with gravitational waves. The so-called parametrized QNM framework was introduced…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Spyros Thomopoulos , Sebastian H. Völkel , Harald P. Pfeiffer

A pseudospectrum analysis has recently provided evidence of a potential generic instability of black hole (BH) quasinormal mode (QNM) overtones under high-frequency perturbations. Such instability analysis depends on the assessment of the…

General Relativity and Quantum Cosmology · Physics 2022-06-08 Edgar Gasperin , José Luis Jaramillo

Using the spectral method, we investigate the scalar and axial quasinormal modes (QNMs) of massive static phantom wormholes. Our results reveal the existence of purely imaginary QNMs that were not identified in previous studies, suggesting…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Davide Batic , Denys Dutykh

Recent work has shown that the quasinormal mode spectrum of black holes is unstable under small perturbations (of order $\epsilon$) of the radial potential, while the early time-domain ringdown waveform is only marginally affected. In this…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Yiqiu Yang , Zhan-Feng Mai , Run-Qiu Yang , Lijing Shao , Emanuele Berti

The merger of binary black holes produces a series of decaying oscillations, during which energy is radiated in gravitational waves. The characteristic signal in the ringdown phase can be described by complex oscillation frequencies called…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Yanqiang Liu , Benrong Mu , Jun Tao , Yuling Weng

The rapid advancement of gravitational wave astronomy in recent years has paved the way for the burgeoning development of black hole spectroscopy, which enhances the possibility of testing black holes by their quasinormal modes (QNMs). In…

General Relativity and Quantum Cosmology · Physics 2020-12-16 Che-Yu Chen , Yu-Hsien Kung , Pisin Chen

Black holes have their proper oscillations, which are called the quasi-normal modes. The proper oscillations of astrophysical black holes can be observed in the nearest future with the help of gravitational wave detectors. Quasi-normal…

General Relativity and Quantum Cosmology · Physics 2009-05-26 Alexander Zhidenko

It was recently pointed out that the fundamental mode of the Regge-Wheeler effective potential is unstable against an insignificant Gaussian metric perturbation, which, in turn, might substantially challenge the black hole spectroscopy.…

General Relativity and Quantum Cosmology · Physics 2026-02-06 Shui-Fa Shen , Guan-Ru Li , Ramin G. Daghigh , Jodin C. Morey , Michael D. Green , Qiyuan Pan , Cheng-Gang Shao , Wei-Liang Qian

Black-hole spectroscopy aims to infer the fundamental properties of black holes by analysing the spectrum of gravitational waves emitted as they settle into equilibrium. These resonances, known as quasinormal modes (QNMs), decay rapidly,…

General Relativity and Quantum Cosmology · Physics 2026-04-22 Pietro Smaniotto , Leonardo Solidoro , Patrik Švančara , Sam Patrick , Maurício Richartz , Carlo F. Barenghi , Ruth Gregory , Silke Weinfurtner

Analyzing the stability of quasinormal modes (QNM) is essential for understanding black hole dynamics, particularly in the context of gravitational wave emissions and black hole spectroscopy. In this study, we employ the hyperboloidal…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Lucas Tobias de Paula , Pedro Henrique Croti Siqueira , Rodrigo Panosso Macedo , Maurício Richartz

We study the stability of black holes that are solutions of the dilaton gravity derived from string-theoretical models in two and five dimensions against to scalar field perturbations, using the Quasinormal Modes (QNMs) approach. In order…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ramón Becar , Samuel Lepe , Joel Saavedra

Black hole (BH) perturbation is followed by a ringdown phase which is dominated by quasinormal modes (QNM). These modes may provide key signature of the gravitational waves. The presence of a deformed spacetime structure may distort this…

High Energy Physics - Theory · Physics 2019-10-30 Marija Dimitrijević Ćirić , Nikola Konjik , Andjelo Samsarov

Recent work applying the notion of pseudospectrum to gravitational physics showed that the quasinormal mode spectrum of black holes is unstable, with the possible exception of the longest-lived (fundamental) mode. The fundamental mode…

General Relativity and Quantum Cosmology · Physics 2022-03-29 Mark Ho-Yeuk Cheung , Kyriakos Destounis , Rodrigo Panosso Macedo , Emanuele Berti , Vitor Cardoso

Quasinormal mode (QNM) gravitational radiation from black holes is expected to be observed in a few years. A perturbative formula is derived for the shifts in both the real and the imaginary part of the QNM frequencies away from those of an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 P. T. Leung , Y. T. Liu , W. -M. Suen , C. Y. Tam , K. Young

Recently, ultracompact objects have been found to be susceptible to a new nonlinear instability, known as the light-ring instability, triggered by stable light rings. This discovery raises concerns about the viability of these objects as…

General Relativity and Quantum Cosmology · Physics 2024-03-12 Guangzhou Guo , Peng Wang , Yupeng Zhang

Recent studies have shown that far-field perturbations to the curvature potential of a black hole spacetime may destabilize its quasinormal mode (QNM) spectrum while only mildly affecting time-domain ringdown signals. In this work, we study…

General Relativity and Quantum Cosmology · Physics 2025-09-26 Andrew Laeuger , Colin Weller , Dongjun Li , Yanbei Chen

Small deviations in the spacetime around black holes can lead to instabilities in the underlying quasinormal mode spectrum, potentially altering the hierarchy of its overtones. A practical way to induce such spectral instability is by…

General Relativity and Quantum Cosmology · Physics 2025-04-02 Mateus Malato Corrêa , Caio F. B. Macedo , Rodrigo Panosso Macedo , Leandro A. Oliveira

We investigate the stability of QNM spectra and greybody factors in the Schwarzschild black hole by approximating the Regge-Wheeler potential with a piecewise parabolic form and treating the deviation as a perturbation. We find that QNM…

General Relativity and Quantum Cosmology · Physics 2025-07-04 Libo Xie , Liang-Bi Wu , Zong-Kuan Guo

We present a comprehensive analysis of quasinormal modes (QNMs) for noncommutative geometry-inspired Schwarzschild black holes, encompassing both non-extreme and extreme cases. By employing a spectral method, we calculate the QNMs in the…

General Relativity and Quantum Cosmology · Physics 2024-07-15 Davide Batic , Denys Dutykh